<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">dan</journal-id><journal-title-group><journal-title xml:lang="ru">Доклады Национальной академии наук Беларуси</journal-title><trans-title-group xml:lang="en"><trans-title>Doklady of the National Academy of Sciences of Belarus</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1561-8323</issn><issn pub-type="epub">2524-2431</issn><publisher><publisher-name>The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.29235/1561-8323-2018-62-3-353-363</article-id><article-id custom-type="elpub" pub-id-type="custom">dan-529</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ТЕХНИЧЕСКИЕ НАУКИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>TECHNICAL SCIENCES</subject></subj-group></article-categories><title-group><article-title>СОПРЯЖЕННЫЙ ТЕПЛООБМЕН ПРИ ПОЛУЧЕНИИ СТЕКЛЯННЫХ МИКРОСФЕР  В ГАЗОПЛАМЕННОМ РЕАКТОРЕ</article-title><trans-title-group xml:lang="en"><trans-title>CONJUGATE HEAT TRANSFER IN THE PRODUCTION OF GLASS MICROSPHERES  IN A GAS-FLAME REACTOR</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Лях</surname><given-names>М. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Liakh</surname><given-names>M. Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Лях Мария Юрьевна– канд. физ.-мат. наук, науч. сотрудник. </p><p>ул. П. Бровки, 15, 220072, Минск.</p></bio><bio xml:lang="en"><p>Liakh Maria Yuryevna– Ph. D. (Physics and Mathematics), Researcher.</p><p>15, P. Brovka Str., 220072, Minsk.</p></bio><email xlink:type="simple">liakhmaria@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Акулич</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Akulich</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Акулич Андрей Владимирович– науч. сотрудник.</p><p>ул. П. Бровки, 15, 220072, Минск.</p></bio><bio xml:lang="en"><p>Akulich Andrei Vladimirovich– Researcher. </p><p>15, P. Brovka Str., 220072, Minsk.</p></bio><email xlink:type="simple">akulich.av@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Гринчук</surname><given-names>П. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Grinchuk</surname><given-names>P. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Гринчук Павел Семенович– член-корреспондент, д-р физ.-мат. наук, заведующий отделом.</p><p>ул. П. Бровки, 15, 220072, Минск.</p></bio><bio xml:lang="en"><p>Grinchuk Pavel Semenovich – Corresponding Member, D. Sc. (Physics and Mathematics), Head of the Department.</p><p>15, P. Brovka Str., 220072, Minsk.</p></bio><email xlink:type="simple">gps@hmti.ac.by</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт тепло- и массообмена имени А. В. Лыкова Национальной академии наук Беларуси.</institution></aff><aff xml:lang="en"><institution>A. V. Luikov Heat and Mass Transfer Institute of the National Academy of Sciences of Belarus.</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2018</year></pub-date><pub-date pub-type="epub"><day>30</day><month>06</month><year>2018</year></pub-date><volume>62</volume><issue>3</issue><fpage>353</fpage><lpage>363</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Лях М.Ю., Акулич А.В., Гринчук П.С., 2018</copyright-statement><copyright-year>2018</copyright-year><copyright-holder xml:lang="ru">Лях М.Ю., Акулич А.В., Гринчук П.С.</copyright-holder><copyright-holder xml:lang="en">Liakh M.Y., Akulich A.V., Grinchuk P.S.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://doklady.belnauka.by/jour/article/view/529">https://doklady.belnauka.by/jour/article/view/529</self-uri><abstract><p>В работе была предложена модель, описывающая процесс получения стеклянных микросфер в газопламенном реакторе рекуперативного типа. На основе описанной математической модели нагрева и движения частиц в высокотемпературном газовом потоке, учитывающей сопряженный теплообмен между рабочей средой реактора и рекуператором, проведено моделирование и оптимизация соответствующих процессов по геометрическим и режимным параметрам. В качестве оптимизируемой характеристики использовалось время пребывания частиц стекла в реакторе при температуре выше 1400 °С, которое определено на основе данных дифференциальной сканирующей колориметрии.В результате оптимизационных расчетов найдена область параметров реактора (диаметр и высота, расход при-родного газа, расход продуваемого через рекуператор воздуха), а также режимных параметров (диаметр и расход частиц стекла), в которых возможно формирование микросфер. Полученная информация может служить основой для проектирования эффективного газопламенного реактора для получения стеклянных микросфер.</p></abstract><trans-abstract xml:lang="en"><p>A model for the process of glass microsphere production in a recuperative gas-flame reactor was proposed. Based on the described mathematical model of heating and motion of particles in a high-temperature gas stream, which takes into account conjugate heat exchange between the reactor’s operating environment and the recuperator, the appropriate processes were modeled and optimized by geometric and regime parameters. The particle location time in the reactor at a temperature above 1400 °С, which was determined by data of differential scanning colorimetry, was used as an optimized charac- С, which was determined by data of differential scanning colorimetry, was used as an optimized charac- , which was determined by data of differential scanning colorimetry, was used as an optimized characteristic.As a result of optimization calculations, the reactor parameters (diameter and height, natural gas flow rate, air flow rate in the recuperator) were found, as well as regime parameters (diameter and flow rate of glass particles), under which microspheres can be formed. The information obtained can be a basis for designing an effective gas-flame reactor for production of glass microspheres.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>полые стеклянные микросферы</kwd><kwd>высокотемпературный газовый реактор</kwd><kwd>рекуператор</kwd></kwd-group><kwd-group xml:lang="en"><kwd>hollow glass microspheres</kwd><kwd>high temperature gas reactor</kwd><kwd>recuperator</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Будов, B. B. Полые стеклянные микросферы. Применение, свойства, технология / B. B. Будов // Стекло и керамика. – 1994. – № 7/8. – С. 7–11.</mixed-citation><mixed-citation xml:lang="en">Budov V. V. Hollow glass microspheres. Use, properties, and technology. Glass and ceramics, 1994, vol. 51, no. 7–8,</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Пахарев, А. В. Свойства тампонажного камня, сформированного в условиях скважины Томской области / А. В. Пахарев, К. В. Беляев // Строительство нефтяных и газовых скважин на суше и на море. – 2012. – № 6. – С. 42–44.</mixed-citation><mixed-citation xml:lang="en">pp. 230–235. https://doi.org/10.1007/bf00680655</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Иноземцев, А. С. Полые микросферы – эффективный заполнитель для высокопрочных легких бетонов / А. С. Иноземцев, Е. В. Королев // Промышленное и гражданское строительство. – 2013. – № 10. – С. 80–83.</mixed-citation><mixed-citation xml:lang="en">Pakharev A. V., Belyaev K. V. Properties of a grouting stone formed in the conditions of a well in the Tomsk Region. Stroitelstvo neftyanykh i gazovykh skvazhin na sushe i na more[Construction of oil and gas wells on land and at sea], 2012,no. 6, pp. 42–44 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Структурообразование в полимерных композиционных материалах с полыми стеклянными микросферами / И. Д. Симонов-Емельянов [и др.] // Пластические массы. – 2012. – № 11. – С. 6–10.</mixed-citation><mixed-citation xml:lang="en">Inozemtsev A. S., Korolev E. V. Hollow microspheres are an effective aggregate for high-strength lightweight concrete. Promyshlennoye i grazhdanskoye stroitelstvo= Industrial and Сivil Engineering, 2013, no. 10, pp. 80–83 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Казимиренко, Ю. А. Формирование конструкций плавучих композитных сооружений для перевозки и хране-ния радиоактивных грузов / Ю. А. Казимиренко // Технологический аудит и резервы производства. – 2014. – Т. 6, № 5(20). – С. 7–9.</mixed-citation><mixed-citation xml:lang="en">Simonov-Emelyanov I. D., Trofimov A. N., Apeksimov N. V., Zubkov S. B. Structure formation in polymeric composite materials with hollow glass microspheres. Plasticheskiye massy[Plastic mixtures], 2012, no. 11, pp. 6–10 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Аппаратурное оформление химической металлизации полых стеклянных микросфер / А. Н. Симбиркина [и др.] // Вопр. проектирования и производства конструкций летательных аппаратов: сб. науч. тр. – Харьков: ХАИ, 2016. – Вып. 1. – С. 109–122.</mixed-citation><mixed-citation xml:lang="en">Kazimirenko Yu. A. Formation of constructions of floating composite structures for transportation and storage of radioactive cargos. Tekhnologicheskiy audit i rezervy proizvodstva= Technology audit and production reserves, 2014, vol. 6, no. 5(20), pp. 7–9 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Многослойные конструкции со сферопластиками для изделий авиационной техники / И. И. Соколов [и др.] // Конструкции из композиционных материалов. – 2014. – № 1 (133). – С. 37–42.</mixed-citation><mixed-citation xml:lang="en">Simbirkina A. N., Nefedov V. G., Chervakov O. V., Globa N. I. Hardware design of chemical metallization of hollow glass microspheres. Voprosy proyektirovaniya i proizvodstva konstruktsyy letatelnykh apparatov: sbornik nauchnykh trudov[Questions of design and manufacturing of aircraft structures: collection of scientific papers]. Khar’kov, Kharkov Aviation Institute, 2016, iss. 1, pp. 109–122 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">German, M. L. Mathematical model for calculating the heat-protection properties of the composite coating “ceramic microspheres–binder” / M. L. German, P. S. Grinchuk // Journal of Engineering Physics and Thermophysics. – 2002. – Vol. 75, N 6. – P. 1301–1313. https://doi.org/10.1023/a:1022150523156</mixed-citation><mixed-citation xml:lang="en">Sokolov I. I., Kogan D. I., Raskutin A. E., Babin A. N., Filatov A. A., Morozov B. B. Sandwich constructions with syntactic core for the aerospace parts. Konstrukcii iz kompozicionnyh materialov [Composite materials constructions], 2014, no. 1(133), pp. 37–42 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Михатулин, Д. С. Конспект лекций по тепломассообмену / Д. С. Михатулин, А. Ю. Чирков. – Москва: Янус-К, 2008. – 2 ч.</mixed-citation><mixed-citation xml:lang="en">German M. L., Grinchuk P. S. Mathematical model for calculating the heat-protection properties of the composite coating «ceramic microspheres–binder». Journal of Engineering Physics and Thermophysics, 2002, vol. 75, no. 6, pp. 1301–1313. https://doi.org/10.1023/a:1022150523156</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Михеев, М. А. Основы теплопередачи / М. А. Михеев, И. М. Михеева. – 2-е изд. – М.: Энергия, 1977. – 344 с.</mixed-citation><mixed-citation xml:lang="en">Mikhatulin, D. S., Chirkov A. Yu. Lecture notes on heat and mass transfer. 2 Parts. Moscow, Yanus-K Publ., 2009 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Практикум по теплопередаче / А. П. Солодов [и др.]; под ред. А. П. Солодова. – М.: Энергоатомиздат, 1986. – 296 с.</mixed-citation><mixed-citation xml:lang="en">Mikheev M. A., Mikheeva I. M. Basic foundation of heat transfer. Moscow, Energiya Publ., 1977. 344 p. (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Исаченко, В. П. Теплопередача / В. П. Исаченко, В. А. Осипов, А. С. Сукомел. – М.: Энергия, 1981. – 416 с.</mixed-citation><mixed-citation xml:lang="en">Solodov A. P., Tsvetkov F. F., Eliseev A. V., Osipova V. A. Practical work on heat transfer. Moscow, Energoatomizdat Publ., 1986. 296 p. (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Einstein, A. Über die von der molekularkinetischen Theorie der ẅarmege for derte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen / A. Einstein // Annalen der Physik. – 1905. – Vol. 322, N 8. – P. 549–560. https://doi.org/10.1002/andp.19053220806</mixed-citation><mixed-citation xml:lang="en">Isachenko V. P., Osipov V. A., Sukomel A. S. Heat transfer. Moscow, Energiya Publ., 1981. 416 p. (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Kawasaki, K. Permeation of Helium Gas through Glass / K. Kawasaki, K. Senzaki // Japanese Journal of Applied Physics. – 1962. – Vol. 1, N 4. – P. 223–226. https://doi.org/10.1143/jjap.1.223</mixed-citation><mixed-citation xml:lang="en">Einstein A. Überdie von der molekularkinetischen Theorie der ẅarme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen. Annalen der Physik, 1905, vol. 322, no. 8, pp. 549–560 (in German). https://doi.org/10.1002/andp.19053220806</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Kawasaki K., Senzaki K. Permeation of Helium Gas through Glass. Japanese Journal of Applied Physics, 1962, vol. 1,no. 4, pp. 223–226. https://doi.org/10.1143/jjap.1.223</mixed-citation><mixed-citation xml:lang="en">Kawasaki K., Senzaki K. Permeation of Helium Gas through Glass. Japanese Journal of Applied Physics, 1962, vol. 1,no. 4, pp. 223–226. https://doi.org/10.1143/jjap.1.223</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
